Dirk A. Lorenz
- Degenerate Preconditioned Proximal Point algorithms
2021/09/23 by Kristian Bredies, Enis Chenchene, Bredies, Kristian +5 · 10 citations
Computer Science · Engineering · Mathematics · #47H05 #47H09 #47N10 #90C25 #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
- Linear convergence of the randomized sparse Kaczmarz method
2018/01/18 by Frank Schöpfer, Dirk A. Lorenz · 5 citations
Engineering · Mathematics · #Sparse and Compressive Sensing Techniques #Advanced Optimization Algorithms Research #Mathematical Inequalities and Applications
- Constructing test instances for Basis Pursuit Denoising
2011/03/15 by Dirk A. Lorenz, Lorenz, Dirk A. · 2 citations
Engineering · Computer Science · #Sparse and Compressive Sensing Techniques #Structural Health Monitoring Techniques #Image and Signal Denoising Methods
- Regularization of Inverse Problems by Filtered Diagonal Frame Decomposition
2020/08/14 by Andrea Ebner, Jürgen Frikel, Ebner, Andrea +7 · 2 citations
Mathematics · Engineering · #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques #Photoacoustic and Ultrasonic Imaging
- The Linearized Bregman Method via Split Feasibility Problems: Analysis\n and Generalizations
2013/09/09 by Dirk A. Lorenz, Frank Schöpfer, Lorenz, Dirk A. +3 · 1 citation
Engineering · Mathematics · #65K10 #68U10 #90C25 #Advanced Optimization Algorithms Research #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Statistical and numerical algorithms
- Linear convergence of the Randomized Sparse Kaczmarz Method
2016/10/10 by Frank Schöpfer, Dirk A. Lorenz, Schöpfer, Frank +1 · 1 citation
Computer Science · Engineering · Mathematics · #65F10 #68W20 #90C25 #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
- Learning Variational Models with Unrolling and Bilevel Optimization
2022/09/26 by Christoph Brauer, Brauer, Christoph, Niklas Breustedt +5 · 2 citations
Medicine · #68T05 #68T07 #FOS: Computer and information sciences #FOS: Mathematics #Hip disorders and treatments #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Pediatric Hepatobiliary Diseases and Treatments #Statistics Theory (math.ST)
- Adaptive Bregman-Kaczmarz: An Approach to Solve Linear Inverse Problems with Independent Noise Exactly
2023/09/12 by Lionel Tondji, Tondji, Lionel, Idriss Tondji +3 · 1 citation
Computer Science · Mathematics · #15A29 #65F10 #65F20 #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Statistical and numerical algorithms
- A general framework for inexact splitting algorithms with relative errors and applications to Chambolle-Pock and Davis-Yin methods
2024/07/08 by M. Marques Alves, Dirk A. Lorenz, Alves, M. Marques +3 · 1 citation
Mathematics · Computer Science · #Numerical methods for differential equations #Matrix Theory and Algorithms #Differential Equations and Numerical Methods